What is the Least Common Multiple of 95481 and 95485?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 95481 and 95485 is 9117003285.
LCM(95481,95485) = 9117003285
Least Common Multiple of 95481 and 95485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95481 and 95485, than apply into the LCM equation.
GCF(95481,95485) = 1
LCM(95481,95485) = ( 95481 × 95485) / 1
LCM(95481,95485) = 9117003285 / 1
LCM(95481,95485) = 9117003285
Least Common Multiple (LCM) of 95481 and 95485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95481 and 95485. First we will calculate the prime factors of 95481 and 95485.
Prime Factorization of 95481
Prime factors of 95481 are 3, 103. Prime factorization of 95481 in exponential form is:
95481 = 32 × 1032
Prime Factorization of 95485
Prime factors of 95485 are 5, 13, 113. Prime factorization of 95485 in exponential form is:
95485 = 51 × 132 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 95481 and 95485.
LCM(95481,95485) = 32 × 1032 × 51 × 132 × 1131
LCM(95481,95485) = 9117003285
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